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http://hdl.handle.net/2445/18700
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DC Field | Value | Language |
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dc.contributor.author | Lehr, Heiner | cat |
dc.contributor.author | Sagués i Mestre, Francesc | cat |
dc.contributor.author | Sancho, José M. | cat |
dc.date.accessioned | 2011-07-07T12:50:51Z | - |
dc.date.available | 2011-07-07T12:50:51Z | - |
dc.date.issued | 1996 | - |
dc.identifier.issn | 1539-3755 | - |
dc.identifier.uri | http://hdl.handle.net/2445/18700 | - |
dc.description.abstract | In this paper we consider diffusion of a passive substance C in a temporarily and spatially inhomogeneous two-dimensional medium. As a realization for the latter we choose a phase-separating medium consisting of two substances A and B, whose dynamics is determined by the Cahn-Hilliard equation. Assuming different diffusion coefficients of C in A and B, we find that the variance of the distribution function of the said substance grows less than linearly in time. We derive a simple identity for the variance using a probabilistic ansatz and are then able to identify the interface between A and B as the main cause for this nonlinear dependence. We argue that, finally, for very large times the here temporarily dependent diffusion "constant" goes like t-1/3 to a constant asymptotic value D¿. The latter is calculated approximately by employing the effective-medium approximation and by fitting the simulation data to the said time dependence. | eng |
dc.format.extent | 9 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | eng |
dc.publisher | The American Physical Society | eng |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.54.5028 | cat |
dc.relation.ispartof | Physical Review e, 1996, vol. 54, num. 5, p. 5028-5036 | - |
dc.relation.uri | http://dx.doi.org/10.1103/PhysRevE.54.5028 | - |
dc.rights | (c) The American Physical Society, 1996 | eng |
dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | - |
dc.subject.classification | Òptica geomètrica | cat |
dc.subject.classification | Materials inhomogenis | cat |
dc.subject.other | Geometrical optics | eng |
dc.subject.other | Inhomogeneous materials | eng |
dc.title | Diffusion in spatially and temporarily inhomogeneous media | eng |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 114548 | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Ciència dels Materials i Química Física) Articles publicats en revistes (Física Quàntica i Astrofísica) |
Files in This Item:
File | Description | Size | Format | |
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114548.pdf | 272.33 kB | Adobe PDF | View/Open |
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